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What is the Least Common Multiple of 89963 and 89981?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 89963 and 89981 is 8094960703.

LCM(89963,89981) = 8094960703

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Least Common Multiple of 89963 and 89981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89963 and 89981, than apply into the LCM equation.

GCF(89963,89981) = 1
LCM(89963,89981) = ( 89963 × 89981) / 1
LCM(89963,89981) = 8094960703 / 1
LCM(89963,89981) = 8094960703

Least Common Multiple (LCM) of 89963 and 89981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89963 and 89981. First we will calculate the prime factors of 89963 and 89981.

Prime Factorization of 89963

Prime factors of 89963 are 89963. Prime factorization of 89963 in exponential form is:

89963 = 899631

Prime Factorization of 89981

Prime factors of 89981 are 17, 67, 79. Prime factorization of 89981 in exponential form is:

89981 = 171 × 671 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 89963 and 89981.

LCM(89963,89981) = 899631 × 171 × 671 × 791
LCM(89963,89981) = 8094960703